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Finding the Third Proportional to 213,303 and 321,304.50

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Solution

The third proportional to 213,303 and 321,304.50 is: 483,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,303 : 321,304.50 = 321,304.50 : x
  2. Step 2: Convert to fraction form
    213,303/321,304.50 = 321,304.50/x
  3. Step 3: Cross multiply
    213,303x = 321,304.50 × 321,304.50
  4. Step 4: Simplify right side
    213,303x = 103,236,581,720.25
  5. Step 5: Solve for x
    x = 103,236,581,720.25/213,303
  6. Step 6: Final answer
    x = 483,990.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.